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LCM of 327, 214, 494, 247

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 327, 214, 494, 247 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 327, 214, 494, 247. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 327,214,494,247

Given numbers are 327,214,494,247

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 327,214,494,247 is 17284566.

Find LCM of 327,214,494,247 with Prime Factorization


2 327, 214, 494, 247
13 327, 107, 247, 247
19 327, 107, 19, 19
327, 107, 1, 1

Multiply the prime numbers at the bottom and the left side.

2 x 13 x 19 x 327 x 107 x 1 x 1 = 17284566

Therefore, the lowest common multiple of 327,214,494,247 is 17284566.

LCM Formula to Find Lowest Common Multiple of 327,214,494,247

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

327 x 214 x 494 x 247 = 8538575604

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

327 : 1, 3, 109, 327

214 : 1, 2, 107, 214

494 : 1, 2, 13, 19, 26, 38, 247, 494

247 : 1, 13, 19, 247

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,214,494,247, is 1.

Now, the common factors can be found like this.

327:3x 109

214:2x 107

494:2x 13x 19

247:13x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 13x 19 = 494

Therefore, the value for common factors is 494.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 8538575604/(1x494)

LCM = 8538575604/494

LCM = 17284566

Thus, we can understand that the LCM of 327,214,494,247 is 17284566.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 327, 214, 494, 247

1. What is the LCM of 327, 214, 494, 247?

Answer: LCM of 327, 214, 494, 247 is 17284566.

2. How to calculate the LCM of 327, 214, 494, 247?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 327, 214, 494, 247.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.